12/06/24

Find the expression for the power delivered to the capacitor
v(t) = 4 cos(20t) V for t > 0 and v(t) = 0 for t < 0. C1=300 uF.
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06/23/22

find an equation tangent to the line x^4 + 3x^2 y -7y^2 = -21, at the point (1,2)
i would know what to do for this, but the y's are confusing me.
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06/15/22

Calculate the wavelength of the resulting wave on the cable
A steel cable with total length 75 m and mass 150 kg is connected to two poles. The tension in the cable is 2,204 N, and the wind makes the cable vibrate with a frequency of 2 Hz. Calculate the... more
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06/01/22

1R) Please help with this.
Find the area of the surface of the cap, cut from thehemisphere x 2 + y2 + z2 = 5, z ≥ 0, by the cylinder x2 + y2 = 1.
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05/26/22

Evaluate the following using The Substitution Rule and the Fundamental Theorem of Calculus.
Evaluate the following using The Substitution Rule and the Fundamental Theorem of Calculus.Problems is on this imageimage- https://imgur.com/9qB5VSGcomplete solution of 3 and 4
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05/20/22

Let k(x)= x^2 times f(x)/ x+1. Find k'(1), given that. f(1)=-2, f'(1)=1
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05/19/22

HELP ASAP PLEASEEEEE
Related RatesWater is pouring into an inverted cone at the rate of 6 cubic meters per minute. If the height of the cone is 10 meters and the radius of its base is 6 meters, how fast is the water... more
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05/18/22

What is the slant height of a cone with a diameter of 10 in and a surface area of 90π in^2?
What is the slant height of a cone with a diameter of 10 in and a surface area of 90pi in^2 ?
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05/12/22

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=289−x^2. What are the dimensions of the rectangle with the greatest area?

Give the length of the rectangle as the dimension along the x axis and the width as the vertical height of the rectangle. Enter an exact answer.
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05/11/22

Find the general antiderivative of 𝑓(𝑥)=23𝑥^−3/5 and check the answer by differentiating.

(Use symbolic notation and fractions where needed. Use 𝐶 for the arbitrary constant. Absorb into 𝐶 as muсh as possible.)∫ 𝑓(𝑥) 𝑑𝑥 =
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05/10/22

Three resistors of 10, 15 and 'X' ohms, respectively are connected in parallel across a constant current source of 8 A. Determine 'X' if this resistor draws 2.5 A.
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05/07/22

Two particles are fixed to an x axis
Two particles are fixed to an x axis: particle 1 of charge q1 = 2.18 × 10-8 C at x = 17.0 cm and particle 2 of charge q2 = -4.41q1 at x = 78.0 cm. At what coordinate on the x axis is the electric... more
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05/06/22

Find the general solution of the following differential equations.
Find the general solution of the following differential equations.1. dy/dx= -x+1/2(y+3)2. dy/dx= y²(1+ ex )
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05/05/22

Please can you help with this. I need a detailed explaination
Use Lagrange multipliers to find the extreme values of f(x, y, z) = yz + zx subject to the constraints yz = 1 and x^2 + z^2 = 1.
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05/04/22

intergral test for convergence of the series
Use the integral test to establish the convergence of the series which is the sum from n=1 to infinity of the terms an=e-n
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05/04/22

antiderivative and trig substitution
if you were looking for the antiderivative of f(x)=1/[x(x2-1)3/2], which trigonometric substitution would be appropriate, a sine substitution, a tangent substitution or a secant substitution?... more
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05/04/22

Finding the divergence
Find the divergence of F-> (x, y, z) = < xcos−1y, z/ (y2 + 1) , 3xz2 + 2y > at (2, 0, −1).
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05/03/22

Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 4 mi²/hr. How rapidly is the radius of the spill increasing when the area is 10 mi²?
Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 4 mi2/hr. How rapidly is the radius of the spill increasing when the area is 10 mi2?
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02/26/22

Combined Gas Law
A sealed bottle containing 3.0 liters of air at a temperature of 20°C and a pressure of 2.0 atmospheres is taken outside where the temperature is 38°C. What is the new pressure?
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02/19/22

equilibrium rotational motion

A see-saw is balanced on itsmidpoint. A 22. 4 kg kid sits on theleft. 1.75 m from the axissecond kid sits on the other side1.22 m from the axis. What is themass of the second kid?
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02/18/22

What is the equation of the tangent plane?
Find an equation of the tangent plane P = (2, 3, 3/√e) to the given surface. 7x^2 + z^2 e^y-x = 37equation = ?
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02/08/22

Find the derivative of the trigonometric function.
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02/04/22

A boat (with a flat bottom) and its cargo weigh 4,600 N. The area of the boat's bottom is 7 m2. How far below the surface of the water is the boat's bottom when it is floating in water?
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02/02/22

A cube, centered on the origin, with sides that are parallel to the x-y, y-z, and x-z planes
A cube, centered on the origin, with sides that are parallel to the x-y, y-z, and x-z planes and have an edge length of L, is immersed in an electric field given by E(x) = E0(αx3i + 2j + 5k). Refer... more
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01/31/22

The drawing shows a small sphere of mass m = 0.24 g that carries a charge of q = 8.5 × 10−10 C.
The drawing shows a small sphere of mass m = 0.24 g that carries a charge of q = 8.5 × 10−10 C. The sphere is attached to one end of a very thin silk string of length L = 5.5 cm. The other end of... more
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